4t^2+3+5t^2-8=

Solution for 4t^2+3+5t^2-8= equation:

Simplifying
4t2 + 3 + 5t2 + -8 = 0

Reorder the terms:
3 + -8 + 4t2 + 5t2 = 0

Combine like terms: 3 + -8 = -5
-5 + 4t2 + 5t2 = 0

Combine like terms: 4t2 + 5t2 = 9t2
-5 + 9t2 = 0

Solving
-5 + 9t2 = 0

Solving for variable 't'.

Move all terms containing t to the left, all other terms to the right.

Add '5' to each side of the equation.
-5 + 5 + 9t2 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 9t2 = 0 + 5
9t2 = 0 + 5

Combine like terms: 0 + 5 = 5
9t2 = 5

Divide each side by '9'.
t2 = 0.5555555556

Simplifying
t2 = 0.5555555556

Take the square root of each side:
t = {-0.745355993, 0.745355993}